GCD of 909, 121, 200, 273 Calculator

Given Input numbers are 909, 121, 200, 273

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Greatest Common Divisior

We found the divisors of 909, 121, 200, 273 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 909, 121, 200, 273 is 1.

Therefore, GCD of numbers 909, 121, 200, 273 is 1

Given Input Data is 909, 121, 200, 273

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 121 is 11 x 11

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 273 is 3 x 7 x 13

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(909, 121) = 109989

GCD(909, 121) = ( 909 x 121 ) / 109989

GCD(909, 121) = 109989 / 109989

GCD(909, 121) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 200

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

GCD(1, 200) = 200 / 200

GCD(1, 200) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 273

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 273) = 273

GCD(1, 273) = ( 1 x 273 ) / 273

GCD(1, 273) = 273 / 273

GCD(1, 273) = 1

GCD of 909, 121, 200, 273 is 1

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1. What is the GCD of 909, 121, 200, 273?

GCD of 909, 121, 200, 273 is 1

2. Where do I get the detailed procedure to find GCD of 909, 121, 200, 273?

You can find a detailed procedure to find GCD of 909, 121, 200, 273 on our page.

3. How to find GCD of 909, 121, 200, 273 on a calculator?

You can find the GCD of 909, 121, 200, 273 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.